Physics: Statistical Mechanics | The Ideal Gas and Kinetic Molecular Theory |. Answer the Problems and Show Complete Solution. | Please read comments.

ProblemSets 1. A bubble of air, 0.010 m3 in volume, is formed at the bottom of a lake which is 30.0 m deep and where the temperature is 80C. The bubble ri ses to the surface, where the water temperature is 26 'C and where the pressure is atmospheric pressure. What is the volume of the bubble just it reaches the surface? Consider an ideal gas of density p and pressure P. Show that the root-rnean-square speed of the gas molecules is P equal to J; At what temperature is the root-mean-square of oxygen molecules (01) equal to the escape velocity from the earth? Take the escape velocity to be 11.2 km/s at the Earth's surface. A tank contains 40.0 mol of N2 gas at 14.0 atm of pressure. If the volume of the tank is 75.0 L, what is the rms speed of the molecules